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Finding the Fourth Proportional to 14,647.30, 20,215.06 and 8,274.16

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Solution

The fourth proportional to 14,647.30, 20,215.06 and 8,274.16 is: 11,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.30 : 20,215.06 = 8,274.16 : x
  2. Step 2: Convert to fraction form
    14,647.30/20,215.06 = 8,274.16/x
  3. Step 3: Cross multiply
    14,647.30x = 20,215.06 × 8,274.16
  4. Step 4: Simplify right side
    14,647.30x = 167,262,694.21
  5. Step 5: Solve for x
    x = 167,262,694.21/14,647.30
  6. Step 6: Final answer
    x = 11,419.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.